Precalculus: Functions and Graphs 13th edition

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• Chapter 1: Topics from Algebra
  • 1.1: Real Numbers
  • 1.2: Exponents and Radicals
  • 1.3: Algebraic Expressions
  • 1.4: Equations
  • 1.5: Complex Numbers
  • 1.6: Inequalities
  • 1: Review Exercises
  • 1: Chapter Test
  
  
• Chapter 2: Functions and Graphs
  • 2.1: Rectangular Coordinate Systems
  • 2.2: Graphs of Equations
  • 2.3: Lines
  • 2.4: Definition of Function
  • 2.5: Graphs of Functions
  • 2.6: Quadratic Functions
  • 2.7: Operations on Functions
  • 2: Review Exercises
  • 2: Chapter Test
  
  
• Chapter 3: Polynomial and Rational Functions
  • 3.1: Polynomial Functions of Degree Greater Than 2
  • 3.2: Properties of Division
  • 3.3: Zeros of Polynomials
  • 3.4: Complex and Rational Zeros of Polynomials
  • 3.5: Rational Functions
  • 3.6: Variation
  • 3: Review Exercises
  • 3: Chapter Test
  
  
• Chapter 4: Inverse, Exponential, and Logarithmic Functions
  • 4.1: Inverse Functions
  • 4.2: Exponential Functions
  • 4.3: The Natural Exponential Function
  • 4.4: Logarithmic Functions
  • 4.5: Properties of Logarithms
  • 4.6: Exponential and Logarithmic Equations
  • 4: Review Exercises
  • 4: Chapter Test
  
  
• Chapter 5: The Trigonometric Functions
  • 5.1: Angles
  • 5.2: Trigonometric Functions of Angles
  • 5.3: Trigonometric Functions of Real Numbers
  • 5.4: Values of the Trigonometric Functions
  • 5.5: Trigonometric Graphs
  • 5.6: Additional Trigonometric Graphs
  • 5.7: Applied Problems
  • 5: Review Exercises
  • 5: Chapter Test
  
  
• Chapter 6: Analytic Trigonometry
  • 6.1: Verifying Trigonometric Identities
  • 6.2: Trigonometric Equations
  • 6.3: The Addition and Subtraction Formulas
  • 6.4: Multiple-Angle Formulas
  • 6.5: Product-to-Sum and Sum-to-Product Formulas
  • 6.6: The Inverse Trigonometric Functions
  • 6: Review Exercises
  • 6: Chapter Test
  
  
• Chapter 7: Applications of Trigonometry
  • 7.1: The Law of Sines
  • 7.2: The Law of Cosines
  • 7.3: Vectors
  • 7.4: The Dot Product
  • 7.5: Trigonometric Form for Complex Numbers
  • 7.6: De Moivre's Theorem and nth Roots of Complex Numbers
  • 7: Review Exercises
  • 7: Chapter Test
  
  
• Chapter 8: Systems of Equations and Inequalities
  • 8.1: Systems of Equations
  • 8.2: Systems of Linear Equations in Two Variables
  • 8.3: Systems of Inequalities
  • 8.4: Linear Programming
  • 8.5: Systems of Linear Equations in More Than Two Variables
  • 8.6: The Algebra of Matrices
  • 8.7: The Inverse of a Matrix
  • 8.8: Determinants
  • 8.9: Properties of Determinants
  • 8.10: Partial Fractions
  • 8: Review Exercises
  • 8: Chapter Test
  
  
• Chapter 9: Sequences, Series, and Probability
  • 9.1: Infinite Sequences and Summation Notation
  • 9.2: Arithmetic Sequences
  • 9.3: Geometric Sequences
  • 9.4: Mathematical Induction
  • 9.5: The Binomial Theorem
  • 9.6: Permutations
  • 9.7: Distinguishable Permutations and Combinations
  • 9.8: Probability
  • 9: Review Exercises
  • 9: Chapter Test
  
  
• Chapter 10: Topics from Analytic Geometry
  • 10.1: Parabolas
  • 10.2: Ellipses
  • 10.3: Hyperbolas
  • 10.4: Plane Curves and Parametric Equations
  • 10.5: Polar Coordinates
  • 10.6: Polar Equations of Conics
  • 10: Review Exercises
  • 10: Chapter Test
  
  
• Chapter 11: Limits of Functions
  • 11.1: Introduction to Limits
  • 11.2: Definition of Limit
  • 11.3: Techniques for Finding Limits
  • 11.4: Limits Involving Infinity
  • 11: Review Exercises
  • 11: Chapter Test